Question

C(2,3)is the centre and ab is a diameter of a circle.if b has the coordinates (1,4) then the coordinates of a are

Answer 1

$\textbf{Answer :}$

Since AB is the diameter of the given circle and C is the centre, C is the middle point of the line joining the points A and B.

Let us consider that the co-ordinates of A be (x, y).

So, the co-ordinates of C is
((x + 1)/2, (y + 4)/2).

Thus,

((x + 1)/2, (y + 4)/2) Ξ (2, 3)

So,

(x + 1)/2 = 2

or, x + 1 = 4

or, x = 4 - 1

or, x = 3

and

(y + 4)/2 = 3

or, y + 4 = 6

or, y = 6 - 4

or, y = 2

Therefore, the co-ordinates of the point A be
(3, 2).

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Answer 2

Answer:

The coordinates of point A are (3, -10)

Step-by-step explanation:

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